Railway Parameters - Free Parameters

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The goal of this app is to calculate some Railway parameters.

All the calculations are based in the EN 13803 (Iberian and Int. Gauge) and AREMA (Int. Gauge), normal values.

Vertical Acceleration: 0.22 EN, 0.18 Arema Passengers 0.03 Arema Freight

The following formulas and values are applied:

International gauge 1435 mm, Iberian 1668 mm.

Clothoid = Cant * V / 3.6 / [Rate of change dD/dt]

Rv = (V²)/ Vertical Acceleration

Deq = 11.8 * V² / HorizontalRadius (11.8 for Int. Gauge, 13.7 for Iberian Gauge)

I = Deq - Cant"," Lat.Acceleration = (Deq - Cant) * 9.81 / 1500 (1500 mm for Int. Gauge, 1740 mm for Iberian Gauge)

No tilting trains.

Horizontal radius = (11.8/(D+I))V² (11.8 for Int. Gauge, 13.7 for Iberian Gauge)

AREMA Gauge for Lat. Acce. calculations 1524 mm

Abbreviations:

D - Cant / Escala / Peralte

Deq - Equilibrium Cant / Escala de equilíbrio / Peralte de equilibrio

I - Cant deficiency / Insuficiência de escala / Insuficiencia de peralte

E - Cant excess / Excesso de escala / Exceso de peralte

V - Speed / Velocidade / Velocidad

Rv - Radius of vertical curve / Raio vertical / Radio vertical

Units -> m km/h g=9.8m/s² m h²/km² = m/s²/12.96

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EXAMPLE TABLES:

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Table Speed vs Radius - AREMA Passengers

Cant max. 100 mm
Rate of change dD/dt 50 m/s
Imax = 75 mm
av = 0.18 ms^-2
R, Rv and L -> 5 m interval

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Speed (V)	Radius (R)	Clothoid (L)	Vert. Radius (Rv)
250 km/h	4 215 m	140 m	26 795 m
200 km/h	2 700 m	115 m	17 150 m
150 km/h	1 520 m	85 m	9 650 m
100 km/h	675 m	60 m	4 290 m
50 km/h	170 m	30 m	1 075 m

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Table Speed vs Radius - EN13803 Passengers

International Gauge
Cant max. 160 mm
Rate of change dD/dt 50 m/s
Imax = 100 mm
av = 0.22 ms^-2
R, Rv and L -> 5 m interval

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Speed (V)	Radius (R)	Clothoid (L)	Vert. Radius (Rv)
250 km/h	2 735 m	225 m	21 925 m
200 km/h	1 750 m	180 m	14 030 m
150 km/h	985 m	135 m	7 895 m
100 km/h	440 m	90 m	3 510 m
50 km/h	115 m	45 m	880 m